Among other things, the angular speed of a rotating vortex (such as in a tornado) may be determined by the use of Doppler weather radar. A Doppler weather radar station is broadcasting pulses of adio waves at a frequency of 2.85 GHz, and it is raining northeast of the station. The station receives a pulse reflected off raindrops, with the following properties: the return pulse comes at a bearing of 51.4° north of east; it returns 180 us after it is emitted; and its frequency is shifted upward by 214 Hz. The station also receives a pulse reflected off raindrops at a bearing of 52.3° north of east, ofter the same time delay, and with a frequency shifted downward by 214 Hz. These reflected pulses have the highest and lowest frequencies the station receives. (a) Determine the radial-velocity component of the raindrops (in m/s) for each bearing (take the outward direction to be positive). 51.4° north of east m/s 52.3° north of east m/s
Among other things, the angular speed of a rotating vortex (such as in a tornado) may be determined by the use of Doppler weather radar. A Doppler weather radar station is broadcasting pulses of adio waves at a frequency of 2.85 GHz, and it is raining northeast of the station. The station receives a pulse reflected off raindrops, with the following properties: the return pulse comes at a bearing of 51.4° north of east; it returns 180 us after it is emitted; and its frequency is shifted upward by 214 Hz. The station also receives a pulse reflected off raindrops at a bearing of 52.3° north of east, ofter the same time delay, and with a frequency shifted downward by 214 Hz. These reflected pulses have the highest and lowest frequencies the station receives. (a) Determine the radial-velocity component of the raindrops (in m/s) for each bearing (take the outward direction to be positive). 51.4° north of east m/s 52.3° north of east m/s
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![Among other things, the angular speed of a rotating vortex (such as in a tornado) may be determined by the use of Doppler weather radar. A Doppler weather radar station is broadcasting pulses of
radio waves at a frequency of 2.85 GHz, and it is raining northeast of the station. The station receives a pulse reflected off raindrops, with the following properties: the return pulse comes at a bearing
of 51.4° north of east; it returns 180 µs after it is emitted; and its frequency is shifted upward by 214 Hz. The station also receives a pulse reflected off raindrops at a bearing of 52.3° north of east,
after the same time delay, and with a frequency shifted downward by 214 Hz. These reflected pulses have the highest and lowest frequencies the station receives.
(a) Determine the radial-velocity component of the raindrops (in m/s) for each bearing (take the outward direction to be positive).
51.4° north of east
m/s
52.3° north of east
m/s
(b) Assuming the raindrops are swirling in a uniformly rotating vortex, determine the angular speed of their rotation (in rad/s).
rad/s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b3d9c49-5652-4539-8713-d5011a0954fc%2F6dd40766-e208-4994-95f8-f09d279d7b74%2Fq8335yw_processed.png&w=3840&q=75)
Transcribed Image Text:Among other things, the angular speed of a rotating vortex (such as in a tornado) may be determined by the use of Doppler weather radar. A Doppler weather radar station is broadcasting pulses of
radio waves at a frequency of 2.85 GHz, and it is raining northeast of the station. The station receives a pulse reflected off raindrops, with the following properties: the return pulse comes at a bearing
of 51.4° north of east; it returns 180 µs after it is emitted; and its frequency is shifted upward by 214 Hz. The station also receives a pulse reflected off raindrops at a bearing of 52.3° north of east,
after the same time delay, and with a frequency shifted downward by 214 Hz. These reflected pulses have the highest and lowest frequencies the station receives.
(a) Determine the radial-velocity component of the raindrops (in m/s) for each bearing (take the outward direction to be positive).
51.4° north of east
m/s
52.3° north of east
m/s
(b) Assuming the raindrops are swirling in a uniformly rotating vortex, determine the angular speed of their rotation (in rad/s).
rad/s
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